A bus averages 60 mi/h traveling to its destination in the first half of its trip through an expressway and 72 mi/h in the second half traveling through a motorway. What is the bus's average speed for the entire trip rounded to the nearest tenth

Respuesta :

Answer:[tex]66\ mi/hr[/tex]

Step-by-step explanation:

Given

During first half it travels with a speed of [tex]v_1=60\ mi/h[/tex]

During second half it travels with a speed of [tex]v_2=72\ mi/h[/tex]

Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{Total time}}[/tex]

suppose t is total time

distance travel in first half [tex]d=\frac{t}{2}\times 60[/tex]

distance travel in Second half [tex]d=\frac{t}{2}\times 72[/tex]

[tex]v_{avg}=\dfrac{\frac{t}{2}\times 60+\frac{t}{2}\times 72}{\frac{t}{2}+\frac{t}{2}}[/tex]

[tex]v_{avg}=\frac{60+72}{2}=66\ mi/hr[/tex]

Answer:

The correct answer is 65.5 mi/h

Hope this helps :)